Modal logics based on Kripke style semantics are the prominent formalismin AI for modeling beliefs. Kripke semantics involve a collection of possible worlds and a relation among t...
The Hintikka-style modal logic approach to knowledge has a well-known defect of logical omniscience, i.e., an unrealistic feature that an agent knows all logical consequences of he...
fragment enjoys suitable noetherianity conditions and admits an abstract version of a `KeislerShelah like' isomorphism theorem. We show that this general decidability transfer...
A simple model of dynamic databases is studied from a modal logic perspecitve. A state α of a database is an atomic update of a state β if at most one atomic statement is evaluat...
An interpolation theorem holds for many standard modal logics, but first order S5 is a prominent example of a logic for which it fails. In this paper it is shown that a first orde...